Radon room

A radon space is a topological space on which every Borel probability measure from the inside is regular . Since a probability measure is globally finite and therefore a locally finite measure , every probability measure in a Radon space is also a Radon measure . In particular, a separable full metric room is a radon room. ${\displaystyle M}$ ${\displaystyle (M,d)}$

Radon rooms were named after Johann Radon .

credentials

• Ambrosio, L., Gigli, N. & Savaré, G .: Gradient Flows in Metric Spaces and in the Space of Probability Measures . Ed .: ETH Zurich, Birkhäuser Verlag. Basel 2005, ISBN 3-7643-2428-7 .